Analysis of two Chebyshev-like third order methods free from second derivatives for solving systems of nonlinear equations

Authors:
D. K. R. Babajee;M. Z. Dauhoo;M. T. Darvishi;A. Karami;A. Barati
Affiliations:
Department of Mathematics, Faculty of Science, University of Mauritius, Reduit, Mauritius;Department of Mathematics, Faculty of Science, University of Mauritius, Reduit, Mauritius;Department of Mathematics, Faculty of Science, Razi University, Kermanshah 67149, Iran;Department of Mathematics, Faculty of Science, Razi University, Kermanshah 67149, Iran;Department of Mathematics, Faculty of Science, Razi University, Kermanshah 67149, Iran
Venue:
Journal of Computational and Applied Mathematics
Year:
2010

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Abstract

In this paper, two Chebyshev-like third order methods free from second derivatives are considered and analyzed for systems of nonlinear equations. The methods can be obtained by having different approximations to the second derivatives present in the Chebyshev method. We study the local and third order convergence of the methods using the point of attraction theory. The computational aspects of the methods are also studied using some numerical experiments including an application to the Chandrasekhar integral equations in Radiative Transfer.